Higher Dimensional Cosmological Implications Of A Decay Law For $\Lambda$ Term : Expressions For Some Observable Quantities

TL;DR

This paper explores a higher-dimensional cosmological model with a specific decay law for the cosmological constant, deriving observable quantities and showing compatibility with recent observations, highlighting differences from four-dimensional models.

Contribution

It generalizes a known four-dimensional cosmological model with a decay law for mbda to higher dimensions and derives observable quantities in this context.

Findings

Model is compatible with recent observations.

Derived expressions for distance measures and look-back time.

Significant differences from four-dimensional models are possible.

Abstract

Implications of cosmological model with a cosmological term of the form $\Lambda = \beta \frac{\ddot {a}}{a}$, where $\beta$ is a constant, are analyzed in multidimensional space time. The proper distance, the luminosity distance-redshift, the angular diameter distance-redshift, and look back time-redshift for the model are presented. It has been shown that such models are found to be compatible with the recent observations. This work has thus generalized to higher dimensions the well-know result in four dimensional space time. It is found that there may be significant difference in principle at least,from the analogous situation in four dimensional space time.